Jesús Manuel Rodríguez-Núñez, A. de León, M. Molinar-Tabares, M. Flores-Acosta, SJ Castillo
{"title":"基于小扰动的复杂光谱模拟计算混沌控制","authors":"Jesús Manuel Rodríguez-Núñez, A. de León, M. Molinar-Tabares, M. Flores-Acosta, SJ Castillo","doi":"10.1177/00375497221098417","DOIUrl":null,"url":null,"abstract":"In this paper, we propose to use a computational method of chaos control to simulate complex experimental spectra. This computational chaos control technique is based on the Ott–Grebogi–York (OGY) method. We chose the logistic map as the base mathematical model for the development of our work. For the numeric part, we created arbitrary precision algorithms to generate the solutions. This way, we completely eliminated any degradation of chaos from our results. These algorithms were also necessary for the proper perturbation process that the computational chaos control method requires. We control the chaos of the logistic map in two cases of Period 1 and one case of Period 2 to demonstrate that our control method works. The behavior of a complex experimental spectrum was taken and numerically simulated. The simulated spectrum was obtained by controlling the chaos of the logistic map in a variable way with the methods proposed in this work. Our results show that it is possible to simulate very complicated experimental spectra by computationally controlling the chaos of an equation unrelated to the experimental system.","PeriodicalId":49516,"journal":{"name":"Simulation-Transactions of the Society for Modeling and Simulation International","volume":"30 1","pages":"835 - 846"},"PeriodicalIF":1.3000,"publicationDate":"2022-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Computational chaos control based on small perturbations for complex spectra simulation\",\"authors\":\"Jesús Manuel Rodríguez-Núñez, A. de León, M. Molinar-Tabares, M. Flores-Acosta, SJ Castillo\",\"doi\":\"10.1177/00375497221098417\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we propose to use a computational method of chaos control to simulate complex experimental spectra. This computational chaos control technique is based on the Ott–Grebogi–York (OGY) method. We chose the logistic map as the base mathematical model for the development of our work. For the numeric part, we created arbitrary precision algorithms to generate the solutions. This way, we completely eliminated any degradation of chaos from our results. These algorithms were also necessary for the proper perturbation process that the computational chaos control method requires. We control the chaos of the logistic map in two cases of Period 1 and one case of Period 2 to demonstrate that our control method works. The behavior of a complex experimental spectrum was taken and numerically simulated. The simulated spectrum was obtained by controlling the chaos of the logistic map in a variable way with the methods proposed in this work. Our results show that it is possible to simulate very complicated experimental spectra by computationally controlling the chaos of an equation unrelated to the experimental system.\",\"PeriodicalId\":49516,\"journal\":{\"name\":\"Simulation-Transactions of the Society for Modeling and Simulation International\",\"volume\":\"30 1\",\"pages\":\"835 - 846\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2022-06-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Simulation-Transactions of the Society for Modeling and Simulation International\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1177/00375497221098417\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Simulation-Transactions of the Society for Modeling and Simulation International","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1177/00375497221098417","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 1
摘要
本文提出了一种混沌控制的计算方法来模拟复杂的实验光谱。这种计算混沌控制技术是基于ot - grebogi - york (OGY)方法。我们选择了logistic图作为开展工作的基础数学模型。对于数值部分,我们创建了任意精度的算法来生成解。通过这种方式,我们完全消除了结果中任何混乱的退化。这些算法对于计算混沌控制方法所要求的适当摄动过程也是必要的。我们在两个周期1和一个周期2的情况下控制了logistic映射的混沌,以证明我们的控制方法是有效的。对复杂实验谱的行为进行了数值模拟。利用本文提出的方法对logistic映射的混沌进行变量控制,得到仿真频谱。我们的结果表明,通过计算控制与实验系统无关的方程的混沌,可以模拟非常复杂的实验光谱。
Computational chaos control based on small perturbations for complex spectra simulation
In this paper, we propose to use a computational method of chaos control to simulate complex experimental spectra. This computational chaos control technique is based on the Ott–Grebogi–York (OGY) method. We chose the logistic map as the base mathematical model for the development of our work. For the numeric part, we created arbitrary precision algorithms to generate the solutions. This way, we completely eliminated any degradation of chaos from our results. These algorithms were also necessary for the proper perturbation process that the computational chaos control method requires. We control the chaos of the logistic map in two cases of Period 1 and one case of Period 2 to demonstrate that our control method works. The behavior of a complex experimental spectrum was taken and numerically simulated. The simulated spectrum was obtained by controlling the chaos of the logistic map in a variable way with the methods proposed in this work. Our results show that it is possible to simulate very complicated experimental spectra by computationally controlling the chaos of an equation unrelated to the experimental system.
期刊介绍:
SIMULATION is a peer-reviewed journal, which covers subjects including the modelling and simulation of: computer networking and communications, high performance computers, real-time systems, mobile and intelligent agents, simulation software, and language design, system engineering and design, aerospace, traffic systems, microelectronics, robotics, mechatronics, and air traffic and chemistry, physics, biology, medicine, biomedicine, sociology, and cognition.